Problem 8-12 The time between accidents at a congested intersection has an exponential distribution with unknown parameter , which may assume values of (1) 2/hour, (2) 3/hour, or (3) 5/hour. Complete the following for each of these levels.

(a) Determine the probability that an accident will happen within 1.5 hours.

lambda=2/hour probability=

lambda=3/hour probability=

lambda=5/hour probability=

(b) Find the expected time between accidents.

lambda=2/hour expectation=

lambda=3/hour expectation=

lambda=5/hour expectation=

(c) Find the variance in time between accidents.

lambda=2/hour variance=

lambda=3/hour variance=

lambda=5/hour variance=